145342306752 has 224 divisors, whose sum is σ = 417800332800. Its totient is φ = 44421414912.

The previous prime is 145342306709. The next prime is 145342306757. The reversal of 145342306752 is 257603243541.

It is a super-2 number, since 2×145342306752² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145342306757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21757749 + ... + 21764427.

Almost surely, 2^145342306752 is an apocalyptic number.

145342306752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145342306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208900166400).

145342306752 is an abundant number, since it is smaller than the sum of its proper divisors (272458026048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145342306752 is a wasteful number, since it uses less digits than its factorization.

145342306752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 145342306752 in words is "one hundred forty-five billion, three hundred forty-two million, three hundred six thousand, seven hundred fifty-two".